{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "import copy\n",
    "\n",
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "from angler import Simulation, Optimization\n",
    "from angler.structures import ortho_port\n",
    "from angler.plot import *\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lambda0 = 2e-6              # free space wavelength (m)\n",
    "c0 = 3e8                    # speed of light in vacuum (m/s)\n",
    "omega = 2*np.pi*c0/lambda0  # angular frequency (2pi/s)\n",
    "dl = 0.4e-1                 # grid size (L0)\n",
    "NPML = [25, 25]             # number of pml grid points on x and y borders\n",
    "pol = 'Ez'                  # polarization (either 'Hz' or 'Ez')\n",
    "source_amp = 6             # amplitude of modal source (A/L0^2?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# material constants\n",
    "n_index = 2.44              # refractive index\n",
    "eps_m = n_index**2          # relative permittivity\n",
    "chi3 = 4.1*1e-19            # Al2S3 from Boyd (m^2/V^2)\n",
    "# max_ind_shift = 5.8e-3      # maximum allowed nonlinear refractive index shift (computed from damage threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# geometric parameters\n",
    "L1 = 6         # length waveguides in design region (L0)\n",
    "L2 = 6          # width of box (L0)\n",
    "H1 = 6          # height waveguides in design region (L0)\n",
    "H2 = 6          # height of box (L0)\n",
    "w = .3          # width of waveguides (L0)\n",
    "l = 3           # length of waveguide from PML to box (L0)\n",
    "spc = 3         # space between box and PML (L0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computed a domain with 350 grids in x and 350 grids in y\n",
      "The simulation has 50 grids per free space wavelength\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8\n",
      "0\n",
      "8\n"
     ]
    }
   ],
   "source": [
    "# define permittivity of three port system\n",
    "eps_r, design_region = ortho_port(L1, L2, H1, H2, w, l, dl, NPML, eps_m)\n",
    "(Nx, Ny) = eps_r.shape\n",
    "nx, ny = int(Nx/2), int(Ny/2)            # halfway grid points\n",
    "\n",
    "simulation = Simulation(omega,eps_r,dl,NPML,pol)\n",
    "# compute the grid size the total grid size\n",
    "print(\"Computed a domain with {} grids in x and {} grids in y\".format(Nx,Ny))\n",
    "print(\"The simulation has {} grids per free space wavelength\".format(int(lambda0/dl/simulation.L0)))\n",
    "simulation.plt_eps()\n",
    "plt.show()\n",
    "\n",
    "print(np.sum(simulation.eps_r[1,:]>1))\n",
    "print(np.sum(simulation.eps_r[:,1]>1))\n",
    "print(np.sum(simulation.eps_r[:,-1]>1))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set the modal source and probes\n",
    "simulation = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "simulation.add_mode(np.sqrt(eps_m), 'x', [NPML[0]+int(l/2/dl), ny], int(H1/2/dl), scale=source_amp)\n",
    "simulation.setup_modes()\n",
    "\n",
    "# left modal profile\n",
    "right = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "right.add_mode(np.sqrt(eps_m), 'x', [-NPML[0]-int(l/2/dl), ny], int(H1/2/dl))\n",
    "right.setup_modes()\n",
    "J_right = np.abs(right.src)\n",
    "\n",
    "# top modal profile\n",
    "top = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "top.add_mode(np.sqrt(eps_m), 'y', [nx, -NPML[1]-int(l/2/dl)], int(L1/2/dl))\n",
    "top.setup_modes()\n",
    "J_top = np.abs(top.src)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set source and solve for electromagnetic fields\n",
    "(_, _, Ez) = simulation.solve_fields()\n",
    "simulation.plt_abs(outline=True, cbar=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "computed a scale of 156.18907971851291 in units of E^2 J_out\n"
     ]
    }
   ],
   "source": [
    "# compute straight line simulation\n",
    "eps_r_wg, _ = two_port(L1, H1, w, l, spc, dl, NPML, eps_start=eps_m)\n",
    "(Nx_wg, Ny_wg) = eps_r_wg.shape\n",
    "nx_wg, ny_wg = int(Nx_wg/2), int(Ny_wg/2)            # halfway grid points     \n",
    "simulation_wg = Simulation(omega, eps_r_wg, dl, NPML, 'Ez')\n",
    "simulation_wg.add_mode(np.sqrt(eps_m), 'x', [NPML[0]+int(l/2/dl), ny_wg], int(Ny/3), scale=source_amp)\n",
    "simulation_wg.setup_modes()\n",
    "\n",
    "# compute normalization\n",
    "sim_out = Simulation(omega, eps_r_wg, dl, NPML, 'Ez')\n",
    "sim_out.add_mode(np.sqrt(eps_m), 'x', [-NPML[0]-int(l/2/dl), ny], int(Ny/3))\n",
    "sim_out.setup_modes()\n",
    "J_out = np.abs(sim_out.src)\n",
    "(_, _, Ez_wg) = simulation_wg.solve_fields()\n",
    "SCALE = np.sum(np.square(np.abs(Ez_wg))*J_out)\n",
    "J_out = J_out\n",
    "print('computed a scale of {} in units of E^2 J_out'.format(SCALE))\n",
    "\n",
    "J_right = J_right / SCALE\n",
    "J_top = J_top / SCALE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set source and solve for electromagnetic fields\n",
    "f, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(20,5))\n",
    "\n",
    "_ = simulation.solve_fields()\n",
    "_ = top.solve_fields()\n",
    "_ = right.solve_fields()\n",
    "\n",
    "simulation.plt_abs(outline=True, cbar=True, ax=ax1)\n",
    "top.plt_abs(outline=True, cbar=True, ax=ax2)\n",
    "right.plt_abs(outline=True, cbar=True, ax=ax3)\n",
    "ax1.set_title('left sourced')\n",
    "ax2.set_title('top sourced')\n",
    "ax3.set_title('right sourced')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# changes design region. 'style' can be in {'full', 'empty', 'halfway', 'random'}\n",
    "simulation.init_design_region(design_region, eps_m, style='random_sym')\n",
    "simulation.plt_eps()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add nonlinearity\n",
    "nl_region = copy.deepcopy(design_region)\n",
    "\n",
    "simulation.nonlinearity = []  # This is needed in case you re-run this cell, for example (or you can re-initialize simulation every time)\n",
    "simulation.add_nl(chi3, nl_region, eps_scale=True, eps_max=eps_m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define objective function\n",
    "import autograd.numpy as npa\n",
    "from angler.objective import Objective, obj_arg\n",
    "arg1 = obj_arg('ez', component='Ez', nl=False)\n",
    "arg2 = obj_arg('ez_nl', component='Ez', nl=True)\n",
    "\n",
    "def J(e, e_nl):\n",
    "    linear_right =     1*npa.sum(npa.square(npa.abs(e))*J_right)\n",
    "    linear_top =     -1*npa.sum(npa.square(npa.abs(e))*J_top)\n",
    "    nonlinear_right = -1*npa.sum(npa.square(npa.abs(e_nl))*J_right)\n",
    "    nonlinear_top =   1*npa.sum(npa.square(npa.abs(e_nl))*J_top)\n",
    "    objfn = (linear_right + linear_top + nonlinear_right + nonlinear_top)/2\n",
    "    return objfn\n",
    "\n",
    "objective = Objective(J, arg_list=[arg1, arg2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 99% (287 of 289) |##################### | Elapsed Time: 0:01:34 ETA:   0:00:00"
     ]
    }
   ],
   "source": [
    "# make optimization object and check derivatives\n",
    "R = 5   # filter radius of curvature (pixels)  (takes a while to set up as R > 5-10)\n",
    "beta = 500\n",
    "eta= 0.50\n",
    "simulation.init_design_region(design_region, eps_m, style='halfway')\n",
    "optimization = Optimization(objective=objective, simulation=simulation, design_region=design_region, eps_m=eps_m, R=R, beta=beta, eta=eta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(simulation.rho.T)\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "plt.imshow(simulation.eps_r.T)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "adjoint gradient   = [2.578088082461072e-07, 9.833748527065742e-08, 4.210904158072348e-06, 4.130184651056357e-06, 4.0691589169722375e-07]\n",
      "numerical gradient = [2.6171221786941423e-07, 9.834367348249273e-08, 4.22978664246787e-06, 4.131204184298909e-06, 4.192996609642119e-07]\n"
     ]
    }
   ],
   "source": [
    "# check the derivatives (note, full derivatives are checked, linear and nonlinear no longer separate)\n",
    "(grad_avm, grad_num) = optimization.check_deriv(Npts=5, d_rho=5e-4)\n",
    "print('adjoint gradient   = {}\\nnumerical gradient = {}'.format(grad_avm, grad_num))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " ObjectiveFn:  0.786 Iteration:  999/1000 ETA:   0:00:13                       "
     ]
    }
   ],
   "source": [
    "new_eps = optimization.run(method='lbfgs', Nsteps=1000, step_size=1e-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(16,5))\n",
    "simulation.plt_eps(ax=ax1, outline=False)\n",
    "ax1.set_title('final permittivity distribution')\n",
    "optimization.plt_objs(ax=ax2)\n",
    "ax2.set_yscale('linear')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compare the linear and nonlinear fields\n",
    "\n",
    "# setup subplots\n",
    "f, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(20,5))\n",
    "\n",
    "# linear fields\n",
    "(Hx,Hy,Ez) = simulation.solve_fields()\n",
    "simulation.plt_abs(ax=ax1, vmax=20)\n",
    "ax1.set_title('linear field')\n",
    "\n",
    "# nonlinear fields\n",
    "(Hx_nl,Hy_nl,Ez_nl,_) = simulation.solve_fields_nl()\n",
    "simulation.plt_abs(ax=ax2, vmax=20, nl=True)\n",
    "ax2.set_title('nonlinear field')\n",
    "\n",
    "# difference\n",
    "simulation.plt_diff(ax=ax3)\n",
    "ax3.set_title('|Ez| for linear - nonlinear')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maximum refractive index shift of 0.0038495726142855347\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute the refractive index shift\n",
    "index_shift = simulation.compute_index_shift()\n",
    "print('maximum refractive index shift of {}'.format(np.max(index_shift)))\n",
    "plt.imshow(index_shift.T, cmap='magma', origin='lower')\n",
    "plt.colorbar()\n",
    "plt.title('refractive index shift')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "W_in = 0.056691256668203655\n",
      "linear transmission (right)      = 0.8183\n",
      "linear transmission (top)        = 0.0593\n",
      "nonlinear transmission (right)   = 0.0611\n",
      "nonlinear transmission (top)     = 0.8083\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# input power\n",
    "W_in = simulation.W_in\n",
    "print(\"W_in = {}\".format(W_in))\n",
    "\n",
    "# linear powers\n",
    "(Hx,Hy,Ez) = simulation.solve_fields()\n",
    "W_right_lin = simulation.flux_probe('x', [-NPML[0]-int(l/2/dl), ny], int(H1/2/dl))\n",
    "W_top_lin  = simulation.flux_probe('y', [nx, -NPML[1]-int(l/2/dl)], int(H1/2/dl))\n",
    "\n",
    "# nonlinear powers\n",
    "(Hx_nl,Hy_nl,Ez_nl,_) = simulation.solve_fields_nl()\n",
    "W_right_nl = simulation.flux_probe('x', [-NPML[0]-int(l/2/dl), ny], int(H1/2/dl), nl=True)\n",
    "W_top_nl  = simulation.flux_probe('y', [nx, -NPML[1]-int(l/2/dl)], int(H1/2/dl), nl=True)\n",
    "\n",
    "\n",
    "print('linear transmission (right)      = {:.4f}'.format(W_right_lin / W_in))\n",
    "print('linear transmission (top)        = {:.4f}'.format(W_top_lin / W_in))\n",
    "print('nonlinear transmission (right)   = {:.4f}'.format(W_right_nl / W_in))\n",
    "print('nonlinear transmission (top)     = {:.4f}'.format(W_top_nl / W_in))\n",
    "\n",
    "S = [[W_top_lin / W_in, W_right_lin / W_in],\n",
    "     [W_top_nl / W_in,  W_right_nl / W_in]]\n",
    "plt.imshow(S, cmap='magma')\n",
    "plt.colorbar()\n",
    "plt.title('power matrix')\n",
    "plt.show()"
   ]
  }
 ],
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